Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 330, 543 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 330, 543 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 330, 543 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 330, 543 is 3.
HCF(330, 543) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 330, 543 is 3.
Step 1: Since 543 > 330, we apply the division lemma to 543 and 330, to get
543 = 330 x 1 + 213
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 213 and 330, to get
330 = 213 x 1 + 117
Step 3: We consider the new divisor 213 and the new remainder 117, and apply the division lemma to get
213 = 117 x 1 + 96
We consider the new divisor 117 and the new remainder 96,and apply the division lemma to get
117 = 96 x 1 + 21
We consider the new divisor 96 and the new remainder 21,and apply the division lemma to get
96 = 21 x 4 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 330 and 543 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(96,21) = HCF(117,96) = HCF(213,117) = HCF(330,213) = HCF(543,330) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 330, 543?
Answer: HCF of 330, 543 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 330, 543 using Euclid's Algorithm?
Answer: For arbitrary numbers 330, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.